Quadratic equation calculator

Quadratic equation has the basic form:

a x^{2} + b x + c = 0

Enter the quadratic equation's coefficients a, b, and c of its basic standardized form. A solution of quadratic equations is usually two different real or complex roots or one double root — the calculation using the discriminant.

Calculation:

0.048112522432469 * (2 + 2 * h)^{2} = 3 * h 0.19245008972988 h^{2} - 2.615 h + 0.192 = 0 a = 0.19245; b = - 2.615; c = 0.192 D = b^{2} - 4 a c = 2.61 5^{2} - 4 \cdot 0.19245 \cdot 0.192 = 6.6905989232 D > 0 h_{1, 2} = \frac{- b \pm D}{2 a} = \frac{2 . 6 2 \pm 6 . 6 9}{0 . 3 8 4 9} h_{1, 2} = 6.794229 \pm 6.720234 h_{1} = 13.514462464 h_{2} = 0.073994804 Factored form of the equation: 0.19245008972988 (h - 13.514462464) (h - 0.073994804) = 0

Solution in text:

0.19245008972988h²-2.6150998205402h+0.19245008972988=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 6.6905989232
D > 0 ... The equation has two distinct real roots

h₁ = 13.5144625
h₂ = 0.0739948

P = {13.5144625; 0.0739948}